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Delay-dependent stochastic stability for discrete singular neural networks with Markovian jump and mixed time-delays

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Abstract

In this paper, the stability analysis problem is investigated for a new class of discrete-time singular neural networks with Markovian jump and mixed time-delays. The jumping parameters are generated from a discrete-time homogeneous Markov process, which are governed by a Markov process with discrete and finite state space. The mixed time-delays are composed of discrete and distributed delays. The activation functions are not required to be strictly monotonic and be differentiable. The purpose of this paper is to derive some delay-dependent sufficient conditions such that the singular neural networks to be regular, causal and stochastically stable in the mean square. Finally, numerical examples are also provided to illustrate the effectiveness of the proposed methods.

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Acknowledgments

This paper is supported by the National Natural Science Foundation of China (No. 61273004) and the Natural Science Foundation of Hebei Province (No. F2014203085). The authors are grateful to the chief editor and the anonymous referees for their careful reading and constructive comments and valuable suggestions, which helped in improving the presentation of the Letter.

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  1. College of science, Yanshan University, Qinhuangdao, Hebei Province, China

    Yuechao Ma & Yuqing Zheng

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  1. Yuechao Ma
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  2. Yuqing Zheng
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Correspondence to Yuqing Zheng.

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We hereby confirm that this manuscript is our original work and has not been published nor has it been submitted simultaneously elsewhere. We further confirm that all authors have checked the manuscript and have agreed to the submission. Moreover, we declare that there is no conflict of interests regarding the publication of this article.

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Ma, Y., Zheng, Y. Delay-dependent stochastic stability for discrete singular neural networks with Markovian jump and mixed time-delays. Neural Comput & Applic 29, 111–122 (2018). https://doi.org/10.1007/s00521-016-2414-5

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  • DOI: https://doi.org/10.1007/s00521-016-2414-5

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